# Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection

@article{Cressman2003EvolutionarilySS, title={Evolutionarily stable sets in the single-locus frequency-dependent model of natural selection}, author={Ross Cressman and J{\'o}zsef Garay and Zolt{\'a}n Varga}, journal={Journal of Mathematical Biology}, year={2003}, volume={47}, pages={465-482} }

Abstract.Recent developments in the static theory of evolutionarily stable sets (ESSets) are applied to the single-locus frequency-dependent model of natural selection. Particular emphasis is paid to the ESSet properties of the preimage of an ESS (or ESSet) under the genotype-phenotype map. When an ESS is realized in genetic equilibrium with redundancy in a diploid sexual population, the basic problem in biological terms is whether the corresponding set of allele frequencies is an…

## 7 Citations

A THEORETICAL FRAMEWORK RELATING TO EXPONENTIALLY FREQUENCY-DEPENDENT SELECTION MODEL IN POLLAK'S SENSE

- Biology
- 2009

A deterministic mathematical model of selection in a one-locus two-allele genetic system has been developed in such a way that equilibrium frequencies of the three genotypes are the same as those of optimizing the mean fertility of the population.

Uninvadability in N-species frequency models for resident-mutant systems with discrete or continuous time.

- BiologyTheoretical population biology
- 2006

Bifurcation Analysis in Population Genetics Model with Partial Selfing

- Mathematics
- 2013

A new model which allows both the effect of
partial selfing selection and an exponential
function of the expected payoff is considered. This combines ideas from genetics and evolutionary
game…

Monomorphic ESS does not imply the stability of the corresponding polymorphic state in the replicator dynamics in matrix games under time constraints

- MathematicsbioRxiv
- 2021

It is demonstrated that monomorphic ESS condition implies the stability of the corresponding state of the polymorphic replicator dynamics if times related to the interactions vary with the strategies of the participants.

BESZÁMOLÓ A KUTATÁS EREDMÉNYEIRŐL Az alábbiakban tartalmilag a benyújtott pályázat Kutatási koncepció és munkaterv c. fejezetének tagolását követve foglaljuk össze a pályázati kutatás eredményeit, utalva a tervezett

- 2009

Az alábbiakban tartalmilag a benyújtott pályázat Kutatási koncepció és munkaterv c. fejezetének tagolását követve foglaljuk össze a pályázati kutatás eredményeit, utalva a tervezett tematikától való…

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